4078750781952 has 1280 divisors, whose sum is σ = 15799388774400. Its totient is φ = 1007935488000.

The previous prime is 4078750781927. The next prime is 4078750781993. The reversal of 4078750781952 is 2591870578704.

4078750781952 is a `hidden beast` number, since 4 + 0 + 78 + 7 + 507 + 8 + 1 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4078750781952.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2191697502 + ... + 2191699362.

It is an arithmetic number, because the mean of its divisors is an integer number (12343272480).

Almost surely, 2^{4078750781952} is an apocalyptic number.

4078750781952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4078750781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899694387200).

4078750781952 is an abundant number, since it is smaller than the sum of its proper divisors (11720637992448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4078750781952 is a wasteful number, since it uses less digits than its factorization.

4078750781952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 63.

The spelling of 4078750781952 in words is "four trillion, seventy-eight billion, seven hundred fifty million, seven hundred eighty-one thousand, nine hundred fifty-two".